Introducing a Month Old Puppy to Resident Cat?

We have a 2 year old cat whom we've had since she was about 3-4 months old. she was rescued, and has always been very skittish and afraid of everything. When we have company over, even for an entire weekend, our cat will hide the whole time only coming out to eat during the night.

We recently brought home a 4-week-old Pit puppy who can barely walk or see yet since he was the runt, but is getting better everyday. The first day, our cat hid and acted like she was upset at us, not even eating dinner that night. She is a little curious though, keeping her distance, but approaching until the pup makes a sudden move and she freaks out and runs away. It has been 3 days now, and she is able to stay in the same room now and is being herself again, but is still really afraid of him and doesn't let him come near her. It may be too early to tell, but is there a chance they will get along and be friends? Or did we make a mistake by our cat?

By The Smiths